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Vlada [557]
2 years ago
9

dr.drazzle collected 70 liters of ocean water to test for antibacterial properties. he split the water into 100 samples . how mu

ch water is in each sample.
Mathematics
1 answer:
Annette [7]2 years ago
8 0

Answer:

Each sample contains 0.70 liters of water.

Step-by-step explanation:

Dr Drazzle collected 70 liters of water of ocean water to test and he split the water into 100 samples.

So by unitary method we can calculate the amount of water in each sample.

∵ 100 samples contain the amount of water = 70 liters

∴ 1 sample contains the amount of water = 70/100 = 0.70 liters

So the answer is 0.70 liters in each sample.

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Sam is 3 years younger than Susan. Susan is 40 years old. If Sam is s years old, the equation that relates his age with Susan's
dedylja [7]

Answer:

Sam is 37 years old.

Step-by-step explanation:

Susan is 40. Sam is just 3 years younger, making him/her 37.

40 = S + 3

(S = 37)

I hope this helped at all ^-^ Please tll me if I made an error or left something out.

5 0
2 years ago
Leonardo read that his reptile food should be given at a temperature of 72.5°F. He keeps the food in the freezer at –4°F. He has
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now divide 76.5 by 8.5

76.5/8.5 = 9 hours

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2 years ago
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The results of a mathematics placement exam at two different campuses of Mercy College follow: Campus Sample Size Sample Mean Po
Leona [35]

Answer:

z=\frac{(33-31)-0}{\sqrt{\frac{8^2}{330}+\frac{7^2}{310}}}}=3.37  

p_v =P(Z>3.37)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the mean for the Campus 1 is significantly higher than the mean for the group 2.  

Step-by-step explanation:

Data given

Campus   Sample size     Mean    Population deviation

   1                 330               33                      8

   2                310                31                       7

\bar X_{1}=33 represent the mean for sample 1  

\bar X_{2}=31 represent the mean for sample 2  

\sigma_{1}=8 represent the population standard deviation for 1  

\sigma_{2}=7 represent the population standard deviation for 2  

n_{1}=330 sample size for the group 1  

n_{2}=310 sample size for the group 2  

\alpha Significance level provided  

z would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the mean for Campus 1 is higher than the mean for Campus 2, the system of hypothesis would be:

Null hypothesis:\mu_{1}-\mu_{2}\leq 0  

Alternative hypothesis:\mu_{1} - \mu_{2}> 0  

We have the population standard deviation's, and the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:  

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

z=\frac{(33-31)-0}{\sqrt{\frac{8^2}{330}+\frac{7^2}{310}}}}=3.37  

P value  

Since is a one right tailed test the p value would be:  

p_v =P(Z>3.37)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the mean for the Campus 1 is significantly higher than the mean for the group 2.  

5 0
2 years ago
You and your mom enter a drawing with 3 different prizes. A total of 8 people entered the drawing, and prizes are awarded random
Rashid [163]
It's actually C. 6/336
8 0
2 years ago
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A population of endangered birds decreases by 3% each year.
Lana71 [14]
Since the number of bird decreases 3% per year then for year 1 there will be 29 100 birds left. This value is 97% of 30000. From this the number of birds for year 1 is N = 30000(1-0.03)

A. N = 30,000(1-0.03)^{2}

B. To solve this we use the equation we established in letter A. We get the answer by substituting T with 20. N = 16,000. <span />
8 0
2 years ago
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